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40387314015 = 345614313793
BaseRepresentation
bin100101100111010001…
…011000000101011111
310212020122212010110000
4211213101120011133
51130203123022030
630315332145343
72626556335116
oct454721300537
9125218763400
1040387314015
1116145649874
1279b1768253
133a683a1859
141d51bccc7d
1510b59e1860
hex96745815f

40387314015 has 80 divisors (see below), whose sum is σ = 73775028096. Its totient is φ = 21132057600.

The previous prime is 40387314013. The next prime is 40387314043. The reversal of 40387314015 is 51041378304.

It is a happy number.

40387314015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40387314015 - 21 = 40387314013 is a prime.

It is a super-2 number, since 2×403873140152 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40387314013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10645959 + ... + 10649751.

Almost surely, 240387314015 is an apocalyptic number.

40387314015 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40387314015 is a deficient number, since it is larger than the sum of its proper divisors (33387714081).

40387314015 is a wasteful number, since it uses less digits than its factorization.

40387314015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 4038731 and 4015, that added together give a triangular number (4042746 = T2843).

The spelling of 40387314015 in words is "forty billion, three hundred eighty-seven million, three hundred fourteen thousand, fifteen".

Divisors: 1 3 5 9 15 27 45 61 81 135 183 305 405 431 549 915 1293 1647 2155 2745 3793 3879 4941 6465 8235 11379 11637 18965 19395 24705 26291 34137 34911 56895 58185 78873 102411 131455 170685 174555 231373 236619 307233 394365 512055 694119 709857 1156865 1183095 1536165 1634783 2082357 2129571 3470595 3549285 4904349 6247071 8173915 10411785 10647855 14713047 18741213 24521745 31235355 44139141 73565235 93706065 99721763 132417423 220695705 299165289 498608815 662087115 897495867 1495826445 2692487601 4487479335 8077462803 13462438005 40387314015